(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have a two spring 2 mass system, with masses m1 and m2, spring constants k1 and k2. There is also an external harmonic force acting on m2, [tex]F sin(\omega\ t )[/tex]

I have to obtain the free ocsillation frequencies [tex]\omega_{1}[/tex] and [tex]\omega_{2}[/tex]

2. Relevant equations

3. The attempt at a solution

i obtained the following eqns by applying newtons 2nd law to each of the masses

[tex]m_{1}x_{1}'' = -k_{1}x_{1}+k_{2}(x_{2}-x_{1})[/tex]

[tex]m_{2}x_{2}'' = -k_{2}(x_{2}-x_{1})+F sin(\omega\ t)[/tex]

and this is where i am stuck, the notes I have suck tbh and i have no idea what to do next, would be very greatfull for some help.

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# Homework Help: Two-mass two spring system

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